3402588672 has 240 divisors, whose sum is σ = 11530339392. Its totient is φ = 945561600.

The previous prime is 3402588671. The next prime is 3402588689. The reversal of 3402588672 is 2768852043.

3402588672 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 588 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3402588671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192047 + ... + 1194897.

Almost surely, 2^3402588672 is an apocalyptic number.

3402588672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765169696).

3402588672 is an abundant number, since it is smaller than the sum of its proper divisors (8127750720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3402588672 is a wasteful number, since it uses less digits than its factorization.

3402588672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3402588672 is about 58331.7124041460. The cubic root of 3402588672 is about 1504.0761241083.

The spelling of 3402588672 in words is "three billion, four hundred two million, five hundred eighty-eight thousand, six hundred seventy-two".